Comparing Polygons-em4 Chapter 1

An angle that is greater than 90 degrees is called obtuse.

Perpendicular is the correct answer because it describes line segments that meet at a right angle. When two line segments are perpendicular, they form a 90-degree angle at their point of intersection. This is in contrast to parallel lines, which never intersect, and skew lines, which are not parallel and do not intersect at a right angle. Therefore, perpendicular accurately describes the relationship between line segments meeting at a right angle.

A ray is a part of a line that starts at one endpoint and extends infinitely in the other direction. Unlike a line segment, which has two endpoints, a ray only has one endpoint. Therefore, a ray fits the description provided in the question.

When two lines cross or meet at a single point, it means that they intersect.

A hexagon is a six-sided polygon, which means it has six sides. It is formed by connecting six straight line segments to create a closed shape. In this question, the task is to identify the name of a six-sided polygon, and the correct answer is "hexagon."

Parallel lines are defined as lines that are an equal distance apart at any given point and will never touch. This means that they will always remain at a fixed distance from each other, never intersecting or crossing paths. Therefore, the given explanation accurately describes the concept of parallel lines.

A line segment is a portion of a line that has two endpoints. It is a straight path between two points and does not extend indefinitely in either direction. Unlike a ray, which has one endpoint and extends infinitely in one direction, a line segment has two distinct endpoints. A line, on the other hand, extends infinitely in both directions and does not have endpoints. An angle is formed by two rays with a common endpoint, but it is not a portion of a line.

A parallelogram is a shape that has two pairs of parallel sides. It is a quadrilateral, meaning it has four sides. The opposite sides of a parallelogram are equal in length and parallel to each other. This makes it different from a square, which is a special type of parallelogram with all sides equal in length and all angles equal to 90 degrees. A kite, on the other hand, does not have parallel sides, so it does not fit the given description. Therefore, the correct answer is parallelogram.

A quadrangle with 4 congruent sides is called a rhombus. A rhombus is a special type of quadrilateral where all four sides are equal in length. This distinguishes it from other options like a kite, trapezoid, and rectangle, which do not have all four sides equal. Therefore, the correct answer is rhombus (Option 1).

A quadrangle that has 4 right angles and 4 congruent sides is a square. A square is a type of quadrilateral where all four angles are right angles and all four sides are equal in length. This makes it the correct answer in this case.

The given answer includes the shapes that have 2 pairs of parallel sides. A rhombus has opposite sides that are parallel, a rectangle has opposite sides that are parallel and equal in length, and a square has all sides that are parallel and equal in length. These shapes fit the description of having 2 pairs of parallel sides.